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Finding the Third Proportional to 527,613.75 and 1,154,493

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Solution

The third proportional to 527,613.75 and 1,154,493 is: 2,526,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,613.75 : 1,154,493 = 1,154,493 : x
  2. Step 2: Convert to fraction form
    527,613.75/1,154,493 = 1,154,493/x
  3. Step 3: Cross multiply
    527,613.75x = 1,154,493 × 1,154,493
  4. Step 4: Simplify right side
    527,613.75x = 1,332,854,087,049
  5. Step 5: Solve for x
    x = 1,332,854,087,049/527,613.75
  6. Step 6: Final answer
    x = 2,526,192.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.